时变时滞随机广义Markov跳变系统的事件触发控制  

Event-triggered control of stochastic singular Markov jump systems with time-varying delays

作　　者：杨子晗 邢双云[1] 曹康敏 YANG Zihan;XING Shuangyun;CAO Kangmin(School of Science,Shenyang Jianzhu University,Shenyang 110168)

机构地区：[1]沈阳建筑大学理学院,沈阳110168

出　　处：《南京信息工程大学学报（自然科学版）》2021年第5期556-563,共8页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

基　　金：国家自然科学基金(61803275);辽宁省“兴辽英才计划”项目(XLYC1907044);辽宁省自然科学基金(2020-MS-218)。

摘　　要：本文研究了在静态事件触发条件下的时变时滞随机广义Markov跳变系统的镇定性问题.通过构造Lyapunov-Krasovskii泛函,利用Jensen不等式以及自由权矩阵技术,提出了系统在静态事件触发条件下的随机容许性条件;在此基础上,设计状态反馈控制器使得相应的闭环系统满足正则、无脉冲且均方意义下随机容许.最后,通过数值算例验证了本文所提方法的正确性和有效性.This paper studies the stabilization problem of stochastic singular Markov jump systems with time-varying delays by static event-triggered control.By constructing the Lyapunov-Krasovskii functional,Jensen s inequality and free weightingm atrix technology,the stochastic admissibility conditions for the systems under the condition of static event-triggered control are proposed.On this basis,the state feedback controller is designed so that the corresponding closed-loop systems satisfy regular,impulse-free and the stochastically admissible in the mean square.Finally,a numerical simulation example is provided to illustrate the correctness and effectiveness of the method proposed in this paper.

关 键 词：MARKOV跳变系统 随机广义系统 事件触发机制 LYAPUNOV-KRASOVSKII泛函 自由权矩阵 

分 类 号：O231.3[理学—运筹学与控制论] TP13[理学—数学]